Scalar mesons in the baryon-soliton formation

Andrianov, V. A.; Novozhilov, V. Yu.

doi:10.1016/0370-2693(88)91868-0

Cited by 10 publications

(6 citation statements)

References 48 publications

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“…The mixing angle between the glueball and quarkonium fields was found to be small [11] and this is consistent with the QCD sum rules. Now a skyrmion imbedded in nuclear matter is considered.…”

Section: Inclusion Of Scalar Mesonsupporting

confidence: 81%

“…where ε = 8N f /(33−2N f ), N f is the number of flavors and C g relates to the gluon condensate that associates the dilaton with a quarkonium which has a reasonable mass [11]. Although the dilaton quarkonium saturates only a part of the trace anomaly, namely the part which is produced by quark loops, but as part of the Skyrme Lagrangian it gives rather good description of the nucleon static properties [11] and the nucleon -nucleon interactions [12].…”

Section: The Modified Skyrme Lagrangianmentioning

confidence: 99%

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Density dependence of meson-nucleon vertices in nuclear matter

et al. 1998

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and TRIUMF, 4004 Wesbrook Mall, Vancouver, BC V6T 2A3 Changes in the meson-nucleon coupling constant and the vertex form factor in nuclear matter are studied in a modified Skyrme Lagrangian including the σ-meson field that satisfies the scale invariance. Renormalization of g A , the axial-vector coupling constant, and the nucleon mass are studied in a consistent model. The results are in good agreement with the empirical evidence. A calculation of the π-N commutator, Σ-term, indicates that the medium changes its magnitude considerably. PACS number(s): 12.39.Dc, 12.39.Fe Key words: Skyrme model, in-medium hadron properties, meson-nucleon coupling constants, vertex form factors, medium renormalization.Recently arguments have been given in favor of the empirical evidence for a scalarisoscalar meson, σ. For example the isosinglet resonance with a mass m σ = 553.3 ± 0.5 MeV 2 The similar second order derivative terms had been suggested in ref [7].

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Section: Inclusion Of Scalar Mesonsupporting

confidence: 81%

Section: The Modified Skyrme Lagrangianmentioning

confidence: 99%

Density dependence of meson-nucleon vertices in nuclear matter

et al. 1998

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“…However it has been shown that this long standing problem can be solved e.g. by the incorporation of the iterated two-pion exchange [30,31] into the Skyrme model or by a reformulation [32] of the original Skyrme lagrangian on the basis of scale invariance and the conformal anomaly [33,34]. Such a scale-invariant lagrangian was also used to describe nucleons in the nuclear matter [35,36] in the mean-field approximation (MFA).…”

Section: The Modelmentioning

confidence: 99%

“…Its in-medium renormalization has not been clarified in the literature. In the present model this quantity can be expressed in terms of the in-medium sigma-meson mass m * σ as [34,37]:…”

Section: Density Dependence and Input Parametersmentioning

confidence: 99%

Nucleon-nucleon potential in finite nuclei

et al. 2005

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We consider the spin-isospin-independent central part of the residual nucleon-nucleon potential in finite spherical nuclei taking into account the deformation effects of the nucleons within the surrounding nuclear environment. It is shown that inside the nucleus the short-range repulsive contribution of the potential is increased and the intermediate attraction is decreased. We identify the growth of the radial component of the spin-isospin independent short-range part of the inmedium nucleon-nucleon interaction as the responsible agent that prevents the radial collapse of the nucleus.

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“…Soliton configurations play important roles in many physical phenomena, ranging from nuclear physics [1][2][3][4][5][6] to gravitational physics [7][8][9][10][11]. Solitons are the non-perturbative solution of field equations that lead to important physical effects [12][13][14][15][16][17][18] in different quantum field theories, optical systems, condensed matter systems, and other physical systems.…”

Section: Introductionmentioning

confidence: 99%

Solitons in curved spacetime

Mandal

2022

Preprint

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Derrick's theorem is an important result that decides the existence of soliton configurations in field theories in different dimensions. It is proved using the extremization of finite energy of configurations under the scaling transformation. According to this theorem, the 2 + 1 dimension is the critical dimension for the existence of solitons in scalar field theories without the gauge fields. In the present article, Derrick's theorem is extended in a generic curved spacetime in a covariant manner. Moreover, the existence of solitons in conformally flat spacetimes and spherically symmetric spacetimes is also shown using the approach presented in this article. Further, the approach shown in the present article in order to derive the soliton configurations is not restricted to a particular form of the field potential or curved spacetime.

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Scalar mesons in the baryon-soliton formation

Cited by 10 publications

References 48 publications

Density dependence of meson-nucleon vertices in nuclear matter

Density dependence of meson-nucleon vertices in nuclear matter

Nucleon-nucleon potential in finite nuclei

Solitons in curved spacetime

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